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Asset price dynamics in a financial market with fundamentalists and chartists. (English) Zbl 0997.91044
This paper studies a deterministic model for the dynamics of asset prices in a financial market with interaction between fundamentalists and chartists. The model is described by a two-dimensional map which has regions of invertibility and non-invertibility in the space of its parameters. While the local stability behaviour is well understood, the paper focuses on a global analysis by means of numerical simulations and studies in particular how the qualitative structure of the basins of attraction changes near a bifurcation. Tools used are critical curves associated to noninvertible maps, homoclinic bifurcations and homoclinic orbits of saddles in regions of invertibility.
91B62Growth models in economics
91B24Price theory and market structure
37N40Dynamical systems in optimization and economics
37M05Simulation (dynamical systems)